Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(3\times2 - \left(-2 + 5\right)\right)2(-5)2 $$
Correct Answer
$$ -60$$ or -60.0000

2. Simplify 2

Simplify the following expression: $$ \left(\frac{-2}{2} - \left(4 + -4\right)\right)2\times6\times4 $$
Correct Answer
$$ -48$$ or -48.0000

3. Fractions 1

Simplify the following expression: $$ \frac{-5}{3} + \frac{-3}{5} $$
Correct Answer
$$ \frac{-34}{15}$$ or -2.2666666666666666

4. Fractions 2

Simplify the following expression: $$ \frac{-6}{5}\frac{5}{6} $$
Correct Answer
$$ -1$$ or -1.0

5. Significant figures

1. Write the following to 2 significant figures: 0.015196829
Correct Answer
0.015 or $$1.5\times10^{-2}$$
2. Write the following to 2 significant figures: 0.94707291
Correct Answer
0.95 or $$9.5\times10^{-1}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.0322272
Correct Answer
$$3.223\times10^{-2}$$
2. Write the following in standard form to 5 significant digits: 154.063
Correct Answer
$$1.5406\times10^{2}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.00138659
Correct Answer
$$1.3866\times10^{-3}$$
2. Write the following in preferred standard form to 2 significant digits: 36.3
Correct Answer
$$36\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ \frac{3 - 3 - \frac{-4}{-6}}{{\left(\frac{-6}{4}\right)}^{2}} $$
Correct Answer
$$ \frac{-8}{27}$$ or -0.296296

9. Simplify 1

Simplify the following expression: $$ \left(1 - -4\right)\left(-6 + -3\right) - {\left(-4 + 1\right)}^{2} $$
Correct Answer
$$ -54$$ or -54.0000

10. Simplify 2

Simplify the following expression: $$ \frac{2\times5\times2}{3\times2 - -3(-5)} $$
Correct Answer
$$ \frac{-20}{9}$$ or -2.22222


Other Articles:

German Gender and Case Game

Physics Algorithms Book

This is a work in progress to write a book on physics algorithms. At the moment, it is about 1/3 finished though, but the latest version can be downloaded for free.

Mars Re-Entry

A ThreeJS simulation of Mars re-entry in a spaceship.




© Hugo2015. Session @sessionNumber